Topographic maps and local contrast changes in natural images

被引:117
作者
Caselles, V [1 ]
Coll, B
Morel, JM
机构
[1] Univ Illes Balears, Dept Math & Informat, Palma de Mallorca 07071, Spain
[2] ENS Cachan, CMLA, Cachan, France
关键词
topographic map; mathematical morphology; level set; junctions; contrast changes; digitization;
D O I
10.1023/A:1008144113494
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We call "natural" image any photograph of an outdoor or indoor scene taken by a standard camera. We discuss the physical generation process of natural images as a combination of occlusions, transparencies and contrast changes. This description fits to the phenomenological description of Gaetano Kanizsa according to which visual perception tends to remain stable with respect to these basic operations. We define a contrast invariant presentation of the digital image, the topographic map, where the subjacent occlusion-transparency structure is put into evidence by the interplay of level lines. We prove that each topographic map represents a class of images invariant with respect to local contrast changes. Several visualization strategies of the topographic map are proposed and implemented and mathematical arguments are developed to establish stability properties of the topographic map under digitization.
引用
收藏
页码:5 / 27
页数:23
相关论文
共 60 条
  • [1] Aliprantis CD, 1994, INFINITE DIMENSIONAL
  • [2] AXIOMS AND FUNDAMENTAL EQUATIONS OF IMAGE-PROCESSING
    ALVAREZ, L
    GUICHARD, F
    LIONS, PL
    MOREL, JM
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 123 (03) : 199 - 257
  • [3] ALVAREZ L, 1994, INT J COMPUT VISION, V25, P95
  • [4] Alvarez Luis, 1994, ACTA NUMER, V3, P1
  • [5] AMBROSIO L, 1999, CONNECTED COMPONENTS
  • [6] [Anonymous], 1992, LECT NOTES MEASURE T
  • [7] [Anonymous], 1994, Variational Methods for Image Segmentation
  • [8] BALLESTER C, 1998, CONTRAST INVARIANT I
  • [9] Beymer D. J., 1991, Proceedings 1991 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (91CH2983-5), P720, DOI 10.1109/CVPR.1991.139798
  • [10] BRUNNSTROM K, 1992, KTHNAP9131 ISRN CVAP